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Finding the Fourth Proportional to 1,642.31, 2,463.39 and 409.69

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Solution

The fourth proportional to 1,642.31, 2,463.39 and 409.69 is: 614.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,642.31 : 2,463.39 = 409.69 : x
  2. Step 2: Convert to fraction form
    1,642.31/2,463.39 = 409.69/x
  3. Step 3: Cross multiply
    1,642.31x = 2,463.39 × 409.69
  4. Step 4: Simplify right side
    1,642.31x = 1,009,226.25
  5. Step 5: Solve for x
    x = 1,009,226.25/1,642.31
  6. Step 6: Final answer
    x = 614.52

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.